# Unit Rate Calculator

## Calculator Use

Use this calculator to find the **unit rate**. A rate is a ratio comparing 2 quantities of different kinds of units. A **unit rate** is a rate with 1 in the denominator. If a rate is given and the quantity in the denominator is not 1, **unit rate** is calculated by finding an equal ratio such that the denominator is 1. Stated differently, complete the division operation of the fraction or ratio.

### Examples of how to find unit rates or unit prices

- Ryan purchased 3 apples for $1.80. At this rate, what is the cost of one apple (the unit cost)?
- We want to know the price per unit apple so we set up our ratio with apples in the denominator. We have our rate of 1.80 dollars per 3 apples = 1.80/3 = 1.80 ÷ 3 = 0.60. So Ryan paid a unit price of $0.60 per apple.
- Further, converting 1.80 dollars to cents we want 1.80 dollars times 100 cents per dollar. So, 1.80 dollars x 100 cents / dollar = 180 cents. 180 cents/3 apples = 60 cents per apple.

- The pottery store can make 176 coffee mugs in an 8 hour day. How many mugs can they make in one hour?
- We want to know the price per unit hour so we set up our ratio with hours in the denominator. We have our rate of 176 mugs per 8 hours = 176/8 = 176 ÷ 8 = 22. So the pottery store makes 22 mugs per hour (22 mugs / 1 hour).

- Kyle can run 12 laps in 30 minutes. How many laps does he run per minute?
- We want to know the laps per unit minute so we set up our ratio with minutes in the denominator. We have our rate of 12 laps per 30 minutes = 12/30 = 12 ÷ 30 = 0.4. So Kyle runs 0.4 laps per minute (0.4 laps / 1 minute).

## Further Reading

Rate Lesson at Brain Camp

**Cite this content, page or calculator as:**

Furey, Edward "Unit Rate Calculator"; from *http://www.calculatorsoup.com* - Online Calculator Resource.